An example of interaction between information and control: The Transparency of a game

This paper presents an example of a two-person cooperative game, where the control of the first player is at the same time information to the second player. It is proved that, under mild assumptions, the information constraint is transparent, i.e., the players behave as if both had been given the same information by means of a coding system. The consequences of this result are examined for noncooperative games. Finally similar results are obtained for multistep games.